Question

aflati trei numere invers proportionale cu 0,0(3),1/2 si0,(3),stiind ca media lor aritmetica este 175

Answer 1

ax0,0(3)=bx1/2=cx0,(3)
(a+b+c)/2=175 
a+b+c=175x2=350
0,0(3)=3/90=1/30
0,(3)=3/9=1/3
a/30=b/2=c/3=(a+b+c)/(30+2+3)=350/35=10
a=30x10=300
b=2x10=20
c=3x10=30

Answer 2

0,0(3)=3/90=1/30
1/2
0,(3)=3/9=1/3
a/30=k    a=30k
b/2=k      b=2k
c/3=k      c=3k
(a+b+c)/3=175
a+b+c=175*3=525
30k+2k+3k=525
35k=525
k=525/35=15
a=30*15=450
b=2*15=30
c=3*15=45